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xxMikexx [17]
3 years ago
14

Write an equation of the line with the given slope and y-intercept:

Mathematics
1 answer:
Stolb23 [73]3 years ago
3 0

Answer:

a. y = -5x + 4

Step-by-step explanation:

Given the following data;

Slope, m = -5

Intercept, c = 4

Mathematically, the equation of line is given by the formula; y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the given parameters, we have;

y = -5x + 4

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Factorise fully x^3-x
MA_775_DIABLO [31]

Answer:

x(x+1)(x-1)

Step-by-step explanation:

We see that the two terms share an x, so we can pull that out:

x^3-x=x(x^2-1)

Now notice that we have a difference of squares (x^2-1). Given a difference of squares, a^2-b^2, this can always be factored into (a+b)(a-b). We can use this in this case: x^2-1=(x+1)(x-1).

So, our final factorized form is: x(x+1)(x-1).

Hope this helps!

3 0
3 years ago
Identify one unique decimal that you encounter regularly during the week and how it affects you or not in your daily life. your
Tpy6a [65]
A unique decimal that I encounter regularly is "0.05". I encounter this almost every day, when I go to the store to buy something, the saleslady gives me $0.05 as change. When I go home and put some of my extra money in my piggy bank, I hold a $0.05 in my hand. 
5 0
2 years ago
A regular assignment has 15 sides.Calculate the size of each interior angle
MariettaO [177]

Answer:

The measure of an interior angle of a regular 15-gon is 120°.

Step-by-step explanation:

We need to determine the measure of the size of an interior angle of a regular 15-gon having 15 sides.

Thus,

The number of sides n = 15

Hence,

Using the formula to determine the measure of an interior angle of a regular 15-gon is given by

(n - 2) × 180° = n × interior angle

substitute n = 15

(15 - 2) × 180 = 15 × interior angle

13 × 180 = 15 × interior angle

Interior angle = (10 × 180) / 15

                      = 1800 / 15

                      = 120°

Therefore, the measure of an interior angle of a regular 15-gon is 120°.

6 0
2 years ago
Miles is saving to buy a new car. He currently has $600 in his savings account. He plans on depositing $200 a month until he has
Marizza181 [45]

Answer:

7 months

Step-by-step explanation:

He plans on depositing $200 every month into the savings account that already has $600 in it.

We can represent the amount of money he will have after a certain number of months (x) as:

A = 600 + 200x

He needs to save $2000. Therefore, to find the months he needs to save, we need to find x when A is $2000:

2000 = 600 + 200x

200x = 2000 - 600

200x = 1400

x = 1400/200 = 7 months

He needs to save for 7 months.

7 0
3 years ago
Solve for 'm': m - 7 = -13 + m
lesya [120]

Answer:

m - 7 = -13 + m

Step-by-step explanation:

8 0
3 years ago
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